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Finding the Fourth Proportional to 31,382.59, 47,074.27 and 9,196.42

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Solution

The fourth proportional to 31,382.59, 47,074.27 and 9,196.42 is: 13,794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.59 : 47,074.27 = 9,196.42 : x
  2. Step 2: Convert to fraction form
    31,382.59/47,074.27 = 9,196.42/x
  3. Step 3: Cross multiply
    31,382.59x = 47,074.27 × 9,196.42
  4. Step 4: Simplify right side
    31,382.59x = 432,914,758.11
  5. Step 5: Solve for x
    x = 432,914,758.11/31,382.59
  6. Step 6: Final answer
    x = 13,794.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.